randomuser160
Answered

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Solve the simultaneous equation:
2x - y= 2
3y= 4x - 5

Sagot :

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Answer:

x = [tex]\frac{1}{2}[/tex] , y = [tex]-1[/tex]

Explanation:

2x - y= 2

3y= 4x - 5

Make y the subject:

2x - y= 2

-y = 2 - 2x

y = 2x - 2  .........equation 1

3y= 4x - 5

y = (4x - 5)/3 ........equation 2

From equation 1 and 2 solve them simultaneously:

→ (4x - 5)/3 =  2x - 2

→ 4x - 5=  3(2x - 2)

→ 4x - 5 = 6x - 6

→ 6x - 4x = -5 + 6

→ 2x = 1

→ x = 1/2

  • if x is 1/2, then y: 2x - 2

                              →  2(1/2)-2

                              →  -1

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